We know that,a3 + b3 = (a + b) (a2 – a × b + b2)Using this formula, we get= x3 + 33= (x + 3) (x2 – 3x + 9)

Q1 of 274 Page 76

Factorize:
x³ + 27

We know that,

a³ + b³ = (a + b) (a² – a × b + b²)

Using this formula, we get

= x³ + 3³

= (x + 3) (x² – 3x + 9)

Expand:

(i)

(ii)

(iii)

Evaluate:

(i) (95)³

(ii) (999)³

Factorize:

8x³ + 27y³

Factorize:

343 + 125 b³

Factorize:x3 + 27